×

Geometry of the thermodynamics of the black holes in Hořava-Lifshitz gravity. (English) Zbl 1208.83051

Summary: Recently, a non-relativistic renormalizable theory of gravity has been proposed by Hořava. This theory is essentially a field theoretic model for a UV complete theory of gravity and it reduces to Einstein’s general relativity at large distances. Subsequently, Cai and his collaborators have obtained black hole solution in this gravity theory and studied the thermodynamic properties of the black hole solutions. In present work, we investigate the geometric thermodynamics of the above black hole solutions and examine the possibilities of any phase transition.

MSC:

83C57 Black holes
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
80A10 Classical and relativistic thermodynamics
81T17 Renormalization group methods applied to problems in quantum field theory
83C15 Exact solutions to problems in general relativity and gravitational theory
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Hořava P.: Phys. Rev. D 79, 084008 (2009) · doi:10.1103/PhysRevD.79.084008
[2] Arnowitt, R.L., Deser, S., Misner, C.W.: The dynamics of general relativity, gravitation : an introduction to current research, Witten, L., (ed.), Chap. 7, pp. 227–265. Wiley, London (1962), arXiv: gr-qc/0405109
[3] Lu H., Mei J., Pope C.N.: Phys. Rev. Lett. 103, 091301 (2009) · doi:10.1103/PhysRevLett.103.091301
[4] Nastase, H.: arXiv: 0904.3604[hep-th]
[5] Ghodasi, A.: arXiv: 0905.0836[hep-th]
[6] Charmousis C., Niz G., Padilla A., Saffin P.M.: JHEP 0908, 070 (2009) · doi:10.1088/1126-6708/2009/08/070
[7] Wei, S., Liu, Y., Wang, Y., Guo, H.: arXiv: 1002.1550[hep-th]
[8] Mukohyama, S.: arXiv: 0906.5069
[9] Calcagni G.: Phys. Rev. D 81, 044006 (2010) · doi:10.1103/PhysRevD.81.044006
[10] Cai R.G., Liu Y., Sun Y.W.: JHEP 0906, 010 (2009) · doi:10.1088/1126-6708/2009/06/010
[11] Colgain E.O., Yavartanoo H.: JHEP 0908, 021 (2009) · doi:10.1088/1126-6708/2009/08/021
[12] Kehagias, A., Sfetsos: Phys. Lett. B 678 (2009)
[13] Park M.I.: JHEP 0909, 123 (2009) · doi:10.1088/1126-6708/2009/09/123
[14] Ghodsi A., Hatefi E.: Phys. Rev. D 81, 044016 (2010) · doi:10.1103/PhysRevD.81.044016
[15] Lee, H.W., Kim, Y.W., Myung, Y.S.: arXiv: 0907.3568[hep-th]
[16] Tang, J.Z., Chen, B.: arXiv: 0909.4127[hep-th]
[17] Setare, M.R., Momeni, D.: arXiv: 0911.1877[hep-th]
[18] Kiritsis, E.: arXiv: 0911.3164[hep-th]
[19] Tang, J.Z., Chen, B.: 0911.3849[hep-th]
[20] Ayon-Beato, E., Garbarz, A., Girirbet, G., Hasaine, M.: arXiv: 1001.2361[hep-th]
[21] Capasso, D., Polychronakos, A.P.: arXiv:0911.1535[hep-th]
[22] Calcagni, G.: arXiv: 0904.0829[hep-th]
[23] Kiritsis, E., Kofinas, G.: arXiv: 0904.1334[hep-th]
[24] Hořava P.: JHEP 0903, 020 (2009)
[25] Hořava, P.: Phys. Rev. Lett. 102, 161301
[26] Takahasi, T., Soda, J.: arXiv: 0904.0554[hep-th]
[27] Kluson, J.: arXiv: 0904.1343[hep-th]
[28] Charmousis C., Niz G., Padilla A., Saffin P.M.: JHEP 0908, 070 (2009) · doi:10.1088/1126-6708/2009/08/070
[29] Blas D., Pujolas O., Sibiryakov S.: JHEP 0910, 029 (2009) · doi:10.1088/1126-6708/2009/10/029
[30] Cai R.G., Cao L.M., Ohta N.: Phys. Rev. D 80, 024003 (2009) · doi:10.1103/PhysRevD.80.024003
[31] Cai R.G., Cao L.M., Ohta N.: Phys. Lett. B 679, 504509 (2009)
[32] Banados M., Teitelboim C., Zanelli J.: Phys. Rev. D 49, 975 (1994) · doi:10.1103/PhysRevD.49.975
[33] Cai R.G., Soh K.S.: Phys. Rev. D 59, 044013 (1999) · doi:10.1103/PhysRevD.59.044013
[34] Regge T., Teitelboim C.: Ann. Phys. 88, 286 (1974) · Zbl 0328.70016 · doi:10.1016/0003-4916(74)90404-7
[35] Martincz C., Trocoso R., Zanelli J.: Phys. Rev. D 70, 084035 (2004) · doi:10.1103/PhysRevD.70.084035
[36] Myung, Y.S.: arXiv: 0905.0957[hep-th]
[37] Ruppeiner G.: Rev. Mod. Phys. 67, 605 (1995) · doi:10.1103/RevModPhys.67.605
[38] Aman J.E., Pidokrajt N.: Phys. Rev. D 73, 024017 (2006) · doi:10.1103/PhysRevD.73.024017
[39] Aman J.E., Bengtsson I., Pidokrajt N.: Gen. Relativ. Gravit. 35, 1733 (2003) · Zbl 1034.83011 · doi:10.1023/A:1026058111582
[40] Janke, W., Johnston, D.A., Kenna, R.: arXiv: 1005.3392[hep-th]
[41] Weinhold F.: J. Chem. Phys. 63, 2479 (1975) · doi:10.1063/1.431689
[42] Hawking S.W.: Phys. Rev. Lett. 26, 1344 (1971) · doi:10.1103/PhysRevLett.26.1344
[43] Chakraborty S., Bandyopadhyay T.: Class. Quantum Gravity 25, 245015 (2008) · Zbl 1156.83313 · doi:10.1088/0264-9381/25/24/245015
[44] Biswas R., Chakraborty S.: Gen. Relativ. Gravit. 42, 1311 (2010) · Zbl 1189.83073 · doi:10.1007/s10714-009-0907-6
[45] Biswas R., Chakraborty S.: Astrophys. Space Sci. 326, 30 (2010) · Zbl 1186.83076 · doi:10.1007/s10509-009-0202-8
[46] Davies P.C.W.: Proc. R. Soc. Lond. A 353, 499 (1977) · doi:10.1098/rspa.1977.0047
[47] Davies P.C.W.: Rep. Prog. Phys. 41, 1313 (1977) · doi:10.1088/0034-4885/41/8/004
[48] Davies P.C.W.: Class. Quantum Gravity 6, 1909 (1989) · doi:10.1088/0264-9381/6/12/018
[49] Hawking S.W., Page D.N.: Commun. Math. Phys. 87, 577 (1983) · doi:10.1007/BF01208266
[50] Biswas R., Chakraborty S.: IJTP 49, 152 (2010)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.